Extensions 1→N→G→Q→1 with N=C₂²xD₂₅ and Q=C₂

Direct product G=NxQ with N=C₂²xD₂₅ and Q=C₂

		d	ρ	Label	ID
C₂³xD₂₅		200		C2^3xD25	400,54

Semidirect products G=N:Q with N=C₂²xD₂₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xD₂₅):₁C₂ = C₂xD₁₀₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₅	200		(C2^2xD25):1C2	400,37
(C₂²xD₂₅):₂C₂ = D₄xD₂₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₅	100	4+	(C2^2xD25):2C2	400,39
(C₂²xD₂₅):₃C₂ = C₂xC₂₅:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₅	200		(C2^2xD25):3C2	400,44

Non-split extensions G=N.Q with N=C₂²xD₂₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xD₂₅).₁C₂ = D₅₀:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₅	200		(C2^2xD25).1C2	400,14
(C₂²xD₂₅).₂C₂ = D₂₅.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₅	100	4+	(C2^2xD25).2C2	400,34
(C₂²xD₂₅).₃C₂ = C₂²xC₂₅:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₅	100		(C2^2xD25).3C2	400,53
(C₂²xD₂₅).₄C₂ = C₂xC₄xD₂₅	φ: trivial image	200		(C2^2xD25).4C2	400,36

׿

x

:

Z

F

o

wr

Q

<